Results 271 to 280 of about 10,380 (295)

On a class of completable fuzzy metric spaces

Fuzzy Sets and Systems, 2010
The authors investigate fuzzy metric spaces [\textit{A. George} and \textit{P. Veeramani}, ibid. 64, No.~3, 395--399 (1994; Zbl 0843.54014)]. Inter alia they characterize a strong fuzzy metric by a family of stationary fuzzy metrics and show that stationary fuzzy metrics with integral \(t\)-norm and stationary fuzzy ultrametrics (but not fuzzy ...
Valentín Gregori, Samuel Morillas, Almanzor Sapena   +2 more
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A note on intuitionistic fuzzy metric spaces☆

Chaos, Solitons & Fractals, 2006
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Gregori, V., Romaguera, S., Veeramani, P.   +2 more
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ANALYSIS ON FRACTALS IN FUZZY METRIC SPACES

Fractals, 2011
In this paper, we investigate the fractals generated by the iterated function system of fuzzy contractions in the fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. We prove some existence and uniqueness theorems of fractals in the standard fuzzy metric spaces by using the fuzzy Banach contraction theorem.
Easwaramoorthy, D., Uthayakumar, R.
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A class of contractions in fuzzy metric spaces

Fuzzy Sets and Systems, 2010
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Characterizing completable fuzzy metric spaces

Fuzzy Sets and Systems, 2004
The work deals with the separation of points in intuitionistic fuzzy topological spaces (IFTS). The Hausdorfness of an IFTS is described in terms of convergence of nets. It is shown that an IFTS is \(T_2\) if and only if each convergent intuitionistic fuzzy net has a unique limit.
Valentín Gregori, Salvador Romaguera
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On the triangle inequalities in fuzzy metric spaces

Information Sciences, 2007
This paper presents level forms of the triangle inequalities in fuzzy metric spaces. Validity, equivalence and other properties of the level forms of the triangle inequalities are explored. This offers a new tool for the description and analysis of fuzzy metric spaces.
Huan Huang 0005, Congxin Wu
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Random metric space of fuzzy numbers

International Journal of General Systems, 2014
In this paper, we introduce the concept of a random metric (RM) space of fuzzy numbers and establish some of its basic properties. In this approach, the distance between two fuzzy numbers is considered as a certain measurable function. Using this concept, we also obtain some convergence relations for a sequence of fuzzy numbers. Finally, we investigate
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Some Results in Fuzzy b-Metric Space with b-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming

Mathematics, 2023
Gunaseelan Mani, Arul Joseph Gnanaprakasam, Liliana Guran   +2 more
exaly  

Type-2 Fuzzy Metric Spaces

New Mathematics and Natural Computation
In this paper, an attempt is made to define a Type-2 fuzzy metric on a nonempty set [Formula: see text] by allowing it to take fuzzy numbers as values of distance of a pair of points under a membership grade which is also a fuzzy number. Its type-1 counterpart is a fuzzy metric mostly similar to those defined by Kramosil and Michalek [Formula: see ...
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Fuzzy Metric Space of Weak Fuzzy Complex Numbers and Plithogenic Metric Spaces

International Journal of Neutrosophic Science
The main goal of this work is to define for the first time the concept of the metric space of weak fuzzy complex numbers, where we present a suitable metric defined over the ring of weak fuzzy complex numbers, and we study the open balls, closed balls, and torus generated from its structure.
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